D₃×C₇₃×C₇₉ #46829487

order	34602
automorphism	?
homology	Abelianization (H₁) = C₂×C₇₃×C₇₉ · Schur multiplier (H₂) = C₁

Aliases

direct product	D₃×C₇₃×C₇₉
unambiguous semidirect product	C₃⋊(C₂×C₇₃×C₇₉)

	subgroup	G/H
center, hypercenter	C₇₃×C₇₉	D₃
commutator, cosocle, hypocenter	C₃	C₂×C₇₃×C₇₉
Frattini	C₁	G
Fitting, socle	C₃×C₇₃×C₇₉	C₂
LCS	G ▷ C₃
UCS	C₁ ◁ C₇₃×C₇₉

16 conjugacy classes of subgroups.

μ_t(G) = 17301

17301 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(34602, 9);